List of top Mathematics Questions

The value of \(lim x.sin \frac {2}{x}\) is__________.

the distinct linear funtions which map[-1,1] onto[0,2] are _______
y=cos2x, then \(\frac{dy}{dx}\) is______
if x\(\neq\)y\(\neq\)z and \(\begin{vmatrix} x&x^2&1+x^3 \\  y&y^2&1+y^3 \\  z&z^2&1+z^3  \end{vmatrix}=0\), then the value of xyz is_________
If z=x+iy and |z-2+i|=|z-3-i| then locus of z is _________
if A=\(\begin{vmatrix} i&-i \\  -i&\,\,\,\,1  \end{vmatrix}\) and B=\(\begin{vmatrix} 1&-1 \\  -1& \,\,\,\,1  \end{vmatrix}\) then A8 equals_______
the particular integral of (D2-3D+2)y=e3x is
The value of x and y in (3y-2)+i(7-2x)=0
The value of √(-25)+3√(-4)+2√(-9) is __________
if c(n,4),c(n,5) and c(m,6) are in AP, then what is the values of n________.

the value of ∫cot2xdx is________________

The value of cos10° cos30° cos50° cos 70°=__________

Let n(A) denotes the number of element in set A.if n(A)=P and )B)=q, then how many ordered pairs(a,b) are the with aεA and bεB?

Evaluate ∫cos2 xdx_________

What can be said regarding a line if its slope is negative?

What can be said regarding a line if its slope is negative?

If \(A=\begin{bmatrix} 2a & -3b\\ 3 & 2\end{bmatrix}\) and \(\text{adj}A = AA^T\), then 2a+3b is?
An organization awarded 48 medals in event 'A', 25 in event 'B' and 18 in event 'C'. If these medals went to total 60 men and only five men got medals in all the three events, then how many received medals in exactly two of three events?

\[ f(x) = \log_e \left( 4x^2 + 11x + 6 \right) + \sin^{-1} \left( 4x + 3 \right) + \cos^{-1} \left( \frac{10x + 6}{3} \right) \]then \( 36|\alpha + \beta| \) is equal to:

Let \( X \) and \( Y \) be the set of all positive divisors of 400 and 1000 respectively (including 1 and the number). Then \( n(X \cap Y) \) is equal to
Let R=\(\begin{pmatrix}a&3&b\\c&2&d\\0&5&0\end{pmatrix}\): a,b,c,d ∈ {0,3,5,7,11,13,17,19}. Then the number of invertible matrices in R is

If the value of real number a> 0 for which \(x^2\)-5ax+1-0 and \(x^2-a x-5-0\) have a common real root is \(\frac{3}{\sqrt{2 \beta}}\) then \( \beta\) is equal to_______

Let \(A=\) [\(a_{ij}\)]\(_{2\times2}\) be a matrix and \(A^2 = I\) where \(a_{ij} \neq0\). If a sum of diagonal elements and b=det(A), then \(3a^2+4b^2\) is

Three dice are thrown. The probability of getting a sum of numbers which is a perfect cube, is:
The tangent to the curve \(x=cost(3-2cos^2t),y=sint(3-2sin^2t)\) at  \(t=\frac{\pi}{4}\),makes with the \(x-axis\) an angle: